I'm trying to isolate x to find range, but unsure how to manipulate equation.

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To find the range of the function y = 8x^2 + 8x + 5, the equation can be rearranged to y - 5 = 8x^2 + 8x. By isolating y, the next step involves solving the quadratic equation 8x^2 + 8x + (5 - y) = 0. The discussion highlights the challenge of factoring the x^2 + x component. Participants suggest manipulating the equation further to isolate x and determine the range effectively. Understanding the properties of quadratic functions will aid in finding the range.
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Homework Statement


Find Range

Homework Equations


y=8x^2+8x+5

The Attempt at a Solution



y-5=8x^2+8x Subtracted five both sides

(y-1)/8=(x+1)x divided 8 to both sides, and factored x out.

The x^2+x part has me stumped.
 
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Hi My8th! Welcome to PF! :smile:

(try using the X2 button just above the Reply box :wink:)

solve 8x2 + 8x + 5 - y = 0 :wink:
 
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